MATLAB Compiled executables and generated libraries need a run time library that is specific to the MATLAB version they were compiled with. It is not possible to use the run time library for 2015b to run a program compiled with r2010b.

The two files you see serve the same purpose for different matlab versions. They changed the naming convention at some point from internal version numbers to matlab release names but they are the same purpose for different releases. Also it would not surprise me if the 7.14 one is for 32 bit r2010b programs; the other one is for 64 bit R2015b

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